Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz

 

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Bibliografische gegevens
Auteur: Mena Arias, Darío Alberto
Formaat: presentación de congreso
Publicatiedatum:2019
Omschrijving:The Bochner-Riesz means arise from the study of convergence of Fourier series. Analyzing the behavior of its maximal operator, we can understand its pointwise convergence. We obtain some preliminary results stablishing a collection of sparse bounds for the maximal Bochner-Riesz operators. The proof relies on spherical restriction estimates for dimensions bigger than two, along with more specialized arguments for dimension two. Our sparse bounds immediately imply a range of weighted inequalities with the weights lying in the intersection of certain Muckenhoupt and reverse Holder classes.
Land:Kérwá
Instelling:Universidad de Costa Rica
Repositorio:Kérwá
Taal:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/90090
Online toegang:https://hdl.handle.net/10669/90090
Keyword:MATHEMATICS